Cutaway stepper-driven SCARA joint under a measurement probe emphasizes resolution and loaded position.

What you need

Use an offline sensitivity calculation and a guarded measurement setup for any later hardware test.

Nominal endpoint increment at a 200 mm lever arm. 0.0375 degrees: 0.1309 mm; 0.01875 degrees: 0.06545 mm; Example backlash: 0.2 mm.
Nominal endpoint increment at a 200 mm lever arm. Original Academy diagram using illustrative values; not a measured hardware result.
Read the diagram as a data table
Values used in the illustration
Condition or componentmm
0.0375 degrees0.1309
0.01875 degrees0.06545
Example backlash0.2

The calculation

δx_tangent ≈ r × δθ

r is the effective lever arm in mm and δθ is a small angle in radians. This estimates tangential displacement for one joint contribution.

Worked example

Illustrative numbers. Replace them with your measured inputs.

At a 200 mm lever arm, a nominal 0.0375° increment corresponds to 0.131 mm. Halving it to 0.01875° gives 0.0654 mm nominally. Mechanical backlash of 0.2 mm would still dominate both settings.

Try it step by step

  1. Calculate nominal output resolution from pulses and reduction, then convert it to local endpoint sensitivity.
  2. List likely mechanical and electrical error sources before assuming more microsteps will improve accuracy.
  3. Measure repeated positions under representative loads and approach directions using an independent instrument.
  4. Choose microstepping and gearing based on measured motion quality, torque and required speed rather than resolution alone.

How to check the result

Report commanded resolution, measured repeatability and absolute error as separate quantities.

Common mistake to avoid

The endpoint sensitivity varies with pose and with which joint moves. A single lever-arm estimate is not a complete two-joint error model.

Reference reading

Primary references for the underlying models, APIs or application context. The worked numbers and plots above are educational calculations, not results reported by these sources.

Read our methods, limitations and safety notes.